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Finding the Third Proportional to 513,230 and 750,342

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Solution

The third proportional to 513,230 and 750,342 is: 1,096,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,230 : 750,342 = 750,342 : x
  2. Step 2: Convert to fraction form
    513,230/750,342 = 750,342/x
  3. Step 3: Cross multiply
    513,230x = 750,342 × 750,342
  4. Step 4: Simplify right side
    513,230x = 563,013,116,964
  5. Step 5: Solve for x
    x = 563,013,116,964/513,230
  6. Step 6: Final answer
    x = 1,096,999.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.